The following set of coordinates represents which figure? (7, 10), (4, 7), (6, 5), (9, 8) parallelogram rectangle rhombus square

Rectangle

Step-by-step explanation:

There are four different types of quadrilateral,

A parallelogram has two pairs of opposite equal parallel sides and two pair of opposite equal angle.

A rectangle has two pairs of opposite equal parallel sides with 4 right angles.

A rhombus has 4 equal sides with two pairs of equal opposite angles,

A square has 4 equal sides with 4 right angles,

Now, Let  A≡(7, 10), B≡(4, 7), C≡(6, 5), D≡(9, 8)

By the distance formula,

Similarly,

BC = √8 unit,

CD = √18 unit,

DA = √8 unit,

Now, the slope of AB,

Similarly, slope of BC = -1

Slope of CD = - 1

And, slope of DA = 1

Since, Slope of AB × Slope of BC = - 1

⇒ AB ⊥ BC

⇒ ∠B = 90°,

Also,  Slope of BC × Slope of CD = - 1

⇒ BC ⊥ CD

⇒ ∠C = 90°,

Now, Slope of CD × slope of DA = -1

⇒ CD ⊥ DA

⇒ ∠D = 90°

And,  Slope of AB × slope of DA = -1

⇒ AB ⊥ DA

⇒ ∠A = 90°

Since,  AB ⊥ BC and BC ⊥ CD

⇒ AB ║ CD

Similarly, AB ⊥ BC and AB ⊥ DA

⇒ BC ║ DA

Hence, by the above definition,

ABCD is a rectangle

the median here is 25. your lowest value is 14 and highest value is 48. to find the third quartile, find the medium number in between 25 and 48 which would be 42 i believe.